Question
Download Solution PDFFor a closed traverse, the sum of latitudes is 4 m and the sum of departures is 3 m. The closing error for the traverse would be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Latitude: It is the length (l) of projection of a line on to the North-South (l cosθ) axis.
Northing → Positive, Southing → Negative
Departure: It is the projection of the line (l) on to the east-west (l sinθ) axis.
Easting → Positive, Westing → Negative
Closing Error ⇒ \(\sqrt {{{\left( {\sum L} \right)}^2} + {{\left( {\sum D} \right)}^2}} \)
Relative Precision ⇒ e/P
Angle of Error ⇒ \({\rm{tan}}\theta = \frac{{\sum D}}{{\sum L}}\)
Where
∑D = sum of departure
∑L = sum of latitude
P = Perimeter of traverse
e = closing error
Calculation:
Closing Error = \(\sqrt {{{\left( {\sum L} \right)}^2} + {{\left( {\sum D} \right)}^2}} \) = \(\sqrt {{{\left( {4} \right)}^2} + {{\left( {3} \right)}^2}} \)= 5 m
Last updated on May 28, 2025
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